1809898506000 has 2240 divisors, whose sum is σ = 7720321242816. Its totient is φ = 406093824000.

The previous prime is 1809898505951. The next prime is 1809898506061. The reversal of 1809898506000 is 6058989081.

It can be written as a sum of positive squares in 32 ways, for example, as 1789698137616 + 20200368384 = 1337796^2 + 142128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 13210937932 + ... + 13210938068.

Almost surely, 2^{1809898506000} is an apocalyptic number.

1809898506000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1809898506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860160621408).

1809898506000 is an abundant number, since it is smaller than the sum of its proper divisors (5910422736816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1809898506000 is a wasteful number, since it uses less digits than its factorization.

1809898506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 1809898506000 in words is "one trillion, eight hundred nine billion, eight hundred ninety-eight million, five hundred six thousand".